Measurement of the electronic thermal conductance channels and heat capacity of graphene at low temperature

Physical Review X

Volumn 3, Issue 4, 2014, Pages

  Fong, Kin Chung ^a   Wollman, Emma E ^a   Ravi, Harish ^a   Chen, Wei ^b   Clerk, Aashish A ^b   Shaw, M D ^c   Leduc, H G ^c   Schwab, K C ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b MCGILL UNIVERSITY   (Canada)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLING PARAMETERS; ELECTRON PHONON COUPLINGS; ELECTRONIC SPECIFIC HEAT; FUNDAMENTAL PROPERTIES; FUTURE APPLICATIONS; IMPURITY SCATTERING; SUPERCONDUCTING ELECTRODES; THERMAL CONDUCTANCE;

ELECTRON-PHONON INTERACTIONS; SPECIFIC HEAT; THERMAL CONDUCTIVITY;

GRAPHENE;

EID: 84893560060     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.3.041008     Document Type: Article

References (51)

1. K. S. Novoselov, A. K. Geim, S.V. Morozov, D. Jiang, M. I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, and A. A. Firsov, Two-Dimensional Gas of Massless Dirac Fermions in Graphene, Nature (London) 438, 197 (2005).
2. Y. Zhang, Y.-W. Tan, H. L. Stormer, and P. Kim, Experimental Observation of the Quantum Hall Effect and Berry's Phase in Graphene, Nature (London) 438, 201 (2005).
3. M. Müller, L. Fritz, and S. Sachdev, Quantum-Critical Relativistic Magnetotransport in Graphene, Phys. Rev. B 78, 115406 (2008).
4. M. S. Foster and I. L. Aleiner, Slow Imbalance Relaxation and Thermoelectric Transport in Graphene, Phys. Rev. B 79, 085415 (2009).
5. O. Vafek, Anomalous Thermodynamics of Coulomb- Interacting Massless Dirac Fermions in Two Spatial Dimensions, Phys. Rev. Lett. 98, 216401 (2007).
6. A. Bid, N. Ofek, H. Inoue, M. Heiblum, C. L. Kane, V. Umansky, and D. Mahalu, Observation of Neutral Modes in the Fractional Quantum Hall Regime, Nature (London) 466, 585 (2010).
7. A. A. Balandin, Thermal Properties of Graphene and Nanostructured Carbon Materials, Nat. Mater. 10, 569 (2011).
8. E. Pop, V. Varshney, and A. K. Roy, Thermal Properties of Graphene: Fundamentals and Applications, MRS Bull. 37, 1273 (2012).
9. N. M. Gabor, J.C.W. Song, Q. Ma, N. L. Nair, T. Taychatanapat, K. Watanabe, T. Taniguchi, L. S. Levitov, and P. Jarillo-Herrero, Hot Carrier-Assisted Intrinsic Photoresponse in Graphene, Science 334, 648 (2011).
10. S.V. Morozov, K. Novoselov, M. Katsnelson, F. Schedin, D. C. Elias, J. A. Jaszczak, and A. K. Geim, Giant Intrinsic Carrier Mobilities in Graphene and Its Bilayer, Phys. Rev. Lett. 100, 016602 (2008).
11. K. C. Fong and K. C. Schwab, Ultrasensitive and Wide- Bandwidth Thermal Measurements of Graphene at Low Temperatures, Phys. Rev. X 2, 031006 (2012).
12. H. Vora, P. Kumaravadivel, B. Nielsen, and X. Du, Bolometric Response in Graphene Based Superconducting Tunnel Junctions, Appl. Phys. Lett. 100, 153507 (2012).
13. J. Yan, M.-H. Kim, J. A. Elle, A. B. Sushkov, G. S. Jenkins, H. M. Milchberg, M. S. Fuhrer, and H. D. Drew, Dual- Gated Bilayer Graphene Hot-Electron Bolometer, Nat. Nanotechnol. 7, 472 (2012).
14. C. B. McKitterick, D. E. Prober, and B. S. Karasik, Performance of Graphene Thermal Photon Detectors, J. Appl. Phys. 113, 044512 (2013).
15. J. Wei, D. Olaya, B. S. Karasik, S.V. Pereverzev, A.V. Sergeev, and M. E. Gershenson, Ultrasensitive Hot- Electron Nanobolometers for Terahertz Astrophysics, Nat. Nanotechnol. 3, 496 (2008).
16. W. Chen and A.A Clerk, Electron-Phonon Mediated Heat Flow in Disordered Graphene, Phys. Rev. B 86, 125443 (2012).
17. R. Bistritzer and A. H. MacDonald, Electronic Cooling in Graphene, Phys. Rev. Lett. 102, 206410 (2009).
18. W.-K. Tse and S. Das Sarma, Energy Relaxation of Hot Dirac Fermions in Graphene, Phys. Rev. B 79, 235406 (2009).
19. S. S. Kubakaddi, Interaction of Massless Dirac Electrons with Acoustic Phonons in Graphene at Low Temperatures, Phys. Rev. B 79, 075417 (2009).
20. J. K. Viljas and T. T. Heikkilä, Electron-Phonon Heat Transfer in Monolayer and Bilayer Graphene, Phys. Rev. B 81, 245404 (2010).
21. Y. M. Zuev, W. Chang, and P. Kim, Thermoelectric and Magnetothermoelectric Transport Measurements of Graphene, Phys. Rev. Lett. 102, 096807 (2009).
22. P. Wei, W. Bao, Y. Pu, C. N. Lau, and J. Shi, Anomalous Thermoelectric Transport of Dirac Particles in Graphene, Phys. Rev. Lett. 102, 166808 (2009).
23. J. G. Checkelsky and N. P. Ong, Thermopower and Nernst Effect in Graphene in a Magnetic Field, Phys. Rev. B 80, 081413(R) (2009).
24. A. C. Betz, S. H. Jhang, E. Pallecchi, R. Ferreira, G. Fève, J.-M. Berroir, and B. Plaçais, Supercollision Cooling in Undoped Graphene, Nat. Phys. 9, 109 (2012).
25. M.W. Graham, S.-F. Shi, D. C. Ralph, J. Park, and P. L. McEuen, Photocurrent Measurements of Supercollision Cooling in Graphene, Nat. Phys. 9, 103 (2012).
26. A. C. Betz et al., Hot Electron Cooling by Acoustic Phonons in Graphene, Phys. Rev. Lett. 109, 056805 (2012).
27. I.V. Borzenets, U. C. Coskun, H. T. Mebrahtu, Yu.V. Bomze, A. I. Smirnov, and G. Finkelstein, Phonon Bottleneck in Graphene-Based Josephson Junctions at Millikelvin Temperature, Phys. Rev. Lett. 111, 027001 (2013).
28. L. Spietz, K.W. Lehnert, I. Siddiqi, and R. J. Schoelkopf, Primary Electronic Thermometry Using the Shot Noise of a Tunnel Junction, Science 300, 1929 (2003).
29. Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevX.3.041008 for a description of the sample fabrication, characterization, and data analysis.
30. H. Duan, J. Zhao, Y. Zhang, E. Xie, and L. Han, Preparing Patterned Carbonaceous Nanostructures Directly by Overexposure of PMMA Using Electron-Beam Lithography, Nanotechnology 20, 135306 (2009).
31. M. Popinciuc, V. E. Calado, X. L. Liu, A. R. Akhmerov, T. M. Klapwijk, and L. M. K. Vandersypen, Zero-Bias Conductance Peak and Josephson Effect in Graphene- NbTiN Junctions, Phys. Rev. B 85, 205404 (2012).
32. A. C. Ferrari, J. C. Meyer, V. Scardaci, C. Casiraghi, M. Lazzeri, F. Mauri, S. Piscanec, D. Jiang, K. S. Novoselov, S. Roth, and A. K. Geim, Raman Spectrum of Graphene and Graphene Layers, Phys. Rev. Lett. 97, 187401 (2006).
33. F. Völklein, H. Reith, T.W. Cornelius, M. Rauber, and R. Neumann, The Experimental Investigation of Thermal Conductivity and the Wiedemann-Franz Law for Single Metallic Nanowires, Nanotechnology 20, 325706 (2009).
34. K. Schwab, E. A. Henriksen, J. M. Worlock, and M. L. Roukes, Measurement of the Quantum of Thermal Conductance, Nature (London) 404, 974 (2000).
35. M. L. Roukes, M. R. Freeman, R. S. Germain, R. C. Richardson, and M. B. Ketchen, Hot Electrons and Energy Transport in Metals at Millikelvin Temperatures, Phys. Rev. Lett. 55, 422 (1985).
36. Z. Chen, W. Jang, W. Bao, C. N. Lau, and C. Dames, Thermal Contact Resistance between Graphene and Silicon Dioxide, Appl. Phys. Lett. 95, 161910 (2009).
37. C. R. Dean et al., Boron Nitride Substrates for High- Quality Graphene Electronics, Nat. Nanotechnol. 5, 722 (2010).
38. A. H. Steinbach, J. M. Martinis, and M. H. Devoret, Observation of Hot-Electron Shot Noise in a Metallic Resistor, Phys. Rev. Lett. 76, 3806 (1996).
39. R. Danneau, F.Wu,M. F. Craciun, S. Russo, M.Y. Tomi, J. Salmilehto, A. F. Morpurgo, and P. J. Hakonen, Shot Noise in Ballistic Graphene, Phys. Rev. Lett. 100, 196802 (2008).
40. L. DiCarlo, J. R. Williams, Y. Zhang, D. T. McClure, and C. M. Marcus, Shot Noise in Graphene, Phys. Rev. Lett. 100, 156801 (2008).
41. D. E. Prober, Superconducting Terahertz Mixer Using a Transition-Edge Microbolometer, Appl. Phys. Lett. 62, 2119 (1993).
42. M. G. Holland, C. A. Klein, and W. D. Straub, The Lorenz Number of Graphite at Very Low Temperatures, J. Phys. Chem. Solids 27, 903 (1966).
43. G. S. Kumar, G. Prasad, and R. O. Pohl, Experimental Determinations of the Lorenz Number, J. Mater. Sci. 28, 4261 (1993).
44. J. Wang and G.-Z. Liu, Unconventional Behavior of Dirac Fermions in Three-Dimensional Gauge Theory, Phys. Rev. D 85, 105010 (2012).
45. D. K. Efetov and P. Kim, Controlling Electron-Phonon Interactions in Graphene at Ultrahigh Carrier Densities, Phys. Rev. Lett. 105, 256805 (2010).
46. J.C.W. Song, M.Y. Reizer, and L. S. Levitov, Disorder- Assisted Electron-Phonon Scattering and Cooling Pathways in Graphene, Phys. Rev. Lett. 109, 106602 (2012).
47. J. Voutilainen, A. Fay, P. Häkkinen, J. K. Viljas, T. T. Heikkilä, and P. J. Hakonen, Energy Relaxation in Graphene and Its Measurement with Supercurrent, Phys. Rev. B 84, 045419 (2011).
48. 2, Nat. Nanotechnol. 3, 206 (2008).
49. K. I. Bolotin, K. J. Sikes, J. Hone, H. L. Stormer, and P. Kim, Temperature-Dependent Transport in Suspended Graphene, Phys. Rev. Lett. 101, 096802 (2008).
50. K. Kaasbjerg, K. S. Thygesen, and K.W. Jacobsen, Unraveling the Acoustic Electron-Phonon Interaction in Graphene, Phys. Rev. B 85, 165440 (2012).
51. M. Mück, C. Welzel, and J. Clarke, Superconducting Quantum Interference Device Amplifiers at Gigahertz Frequencies, Appl. Phys. Lett. 82, 3266 (2003).